A REPRESENTATION THEOREM FOR NORMS IN HILBERT SPACE

Mau-Hsiang Shih; Wataru Takahashi

doi:10.11650/twjm/1500405139

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Home > Journals > Taiwanese J. Math. > Volume 12 > Issue 8 > Article

2008 A REPRESENTATION THEOREM FOR NORMS IN HILBERT SPACE

Mau-Hsiang Shih, Wataru Takahashi

Taiwanese J. Math. 12(8): 2137-2139 (2008). DOI: 10.11650/twjm/1500405139

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Abstract

A representation theorem for all norms equivalent to the original norm in a complex Hilbert space is established by using ellipsoids.

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Mau-Hsiang Shih. Wataru Takahashi. "A REPRESENTATION THEOREM FOR NORMS IN HILBERT SPACE." Taiwanese J. Math. 12 (8) 2137 - 2139, 2008. https://doi.org/10.11650/twjm/1500405139

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Published: 2008

First available in Project Euclid: 18 July 2017

zbMATH: 1177.52004

MathSciNet: MR2459817

Digital Object Identifier: 10.11650/twjm/1500405139

Subjects:

Primary: 52A07

Keywords: ellipsoid , Hilbert space , norm , positive operator

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Taiwanese J. Math.

Vol.12 • No. 8 • 2008

Mathematical Society of the Republic of China

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Mau-Hsiang Shih, Wataru Takahashi "A REPRESENTATION THEOREM FOR NORMS IN HILBERT SPACE," Taiwanese Journal of Mathematics, Taiwanese J. Math. 12(8), 2137-2139, (2008)

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